Chelsea's spending at this level is not going to continue. They're owned by a private equity firm - they're here to make money. What Chelsea are doing is front loading their spending and I suspect they're doing it because they think it's going to be cheaper in the long run. If in the next 18 months or so Apple decide they're going to bid for the PL tv rights or Amazon go bigger then tv money will spike again and when that happens fees and wages will too.
The majority of fans, at least those you see and hear on twitter, don't care who owns their club or where they come from, as long as they spend some ****ing money. The people that do criticise the likes of the Saudi's, Qatar, Abu Dhabi etc are doing so not because they spend a lot - over the past 5-10 years Utd have spent as much as City. The criticism is because of their human rights records and their intentions with these football clubs.
Adam's comparison of these arab states with Bezos or whoever is of course nonsense. Amazon having a web of different companies to reduce their tax bill isn't comparable to mass executions, murdering journalists and the like. Not unless you also consider parking on double yellow lines to be equally as bad as murder.